15) lim cos (2x)
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- Why is it that lim of ln|t-1/t+2| = ln|1|? This then yields us 0. But how did we get 1 from infinity over infinity?Why does the limit as x goes to 0 of cos(1/x) not exist? Can use two different sequences: xn=1/(n*pi), and yn=2/((2n+1)pi) and show that lim cos(1/xn) ≠ lim cos(1/yn).limx→0 (1−cos(5x))/(1−cos(9x))
- why is limx->0[x^4 * cos(2/3x)] not equal to zero? I thought that if I plug in zero to x^4 it makes everything 0- determine the lim_{x->0} cos(2x)/x - determine the limit_{x->0} sin(2x^2)/xtan(4x)A rectangle is to be inscribed under the arch of the curve y = 4 cos (0.5x) from x = -π to x = π. What are the dimensions of the rectangle with largest area, and what is the largest area?